Results 61 to 70 of about 120 (113)

Operad Structures on the Species Composition of Two Operads

Applied Categorical Structures
We give an explicit description of three operad structures on the species composition $p \circ q$, where $q$ is any given positive operad, and where $p$ is the NAP operad, or a shuffle version of the magmatic operad Mag. No distributive law between $p$ and $q$ is assumed.
openaire   +3 more sources

A stable splitting of factorisation homology of generalised surfaces

Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.
Abstract For a manifold W$W$ and an Ed$\smash{E_{\smash{d}} }$‐algebra A$A$, the factorisation homology ∫WA$\smash{\int _W A}$ can be seen as a generalisation of the classical configuration space of labelled particles in W$W$. It carries an action by the diffeomorphism group Diff∂(W)$\mathrm{Diff}{}_\partial (W)$, and for the generalised surfaces Wg,1≔(
Florian Kranhold
wiley   +1 more source

Locally constant $n$-operads as higher braided operads

Journal of Noncommutative Geometry, 2010
We introduce a category of locally constant n -operads which can be considered as the category of higher braided operads. For
openaire   +5 more sources

Steenrod operations via higher Bruhat orders

Proceedings of the London Mathematical Society, Volume 130, Issue 2, February 2025.
Abstract The purpose of this paper is to establish a correspondence between the higher Bruhat orders of Yu. I. Manin and V. Schechtman, and the cup‐i$i$ coproducts defining Steenrod squares in cohomology. To any element of the higher Bruhat orders, we associate a coproduct, recovering Steenrod's original ones from extremal elements in these orders ...
Guillaume Laplante‐Anfossi, Nicholas J. Williams   +1 more
wiley   +1 more source

Operads

, 2022
AbstractThe theory of operads is a convenient framework to define various types of algebraic structures in many different contexts. In this first chapter we will define the notion of an operad as well as that of an algebra for an operad. We present several well-known examples.
Gijs Heuts, Ieke Moerdijk
openaire   +1 more source

Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]

Results Math, 2023
Bremner MR, Brox J, Sánchez-Ortega J.
europepmc   +1 more source

Operads for complex system design specification, analysis and synthesis. [PDF]

Proc Math Phys Eng Sci, 2021
Foley JD, Breiner S, Subrahmanian E, Dusel JM.   +3 more
europepmc   +1 more source

On the equivalence of Lurie's ∞-operads and dendroidal ∞-operads

Journal of Topology
In this paper, we prove the equivalence of two symmetric monoidal (Formula presented.) -categories of (Formula presented.) -operads, the one defined in Lurie [Higher algebra, available at the author's homepage, http://math.ias.edu/~lurie/, September 2017 version] and the one based on dendroidal spaces.
Hinich, V., Moerdijk, I.
openaire   +2 more sources

Operads of Finite Posets

The Electronic Journal of Combinatorics, 2018
We describe four natural operad structures on the linear species of finite posets. The three last ones are set-theoretical and can be seen as a simplified version of the first, the same way the NAP operad behaves with respect to the pre-Lie operad. Moreover the two first ones are isomorphic.
Fauvet, Frédéric, Foissy, Loïc, Manchon, Dominique   +2 more
openaire   +3 more sources

An algebraic framework for structured epidemic modelling. [PDF]

Philos Trans A Math Phys Eng Sci, 2022
Libkind S, Baas A, Halter M, Patterson E, Fairbanks JP.   +4 more
europepmc   +1 more source